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120222213213000 = 23353271147874801
BaseRepresentation
bin11011010101011101101010…
…010100000000101101001000
3120202200010112202010212011110
4123111131222110000231020
5111224210043040304000
61103405153341130320
734215524342265123
oct3325355224005510
9522603482125143
10120222213213000
1135340a55199088
1211597a53b599a0
135210ba1800262
142198b013533ba
15dd73c7cc2850
hex6d576a500b48

120222213213000 has 128 divisors (see below), whose sum is σ = 376477415907840. Its totient is φ = 31940956800000.

The previous prime is 120222213212999. The next prime is 120222213213041. The reversal of 120222213213000 is 312312222021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73124401 + ... + 74750400.

It is an arithmetic number, because the mean of its divisors is an integer number (2941229811780).

Almost surely, 2120222213213000 is an apocalyptic number.

120222213213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222213213000 is an abundant number, since it is smaller than the sum of its proper divisors (256255202694840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120222213213000 is a wasteful number, since it uses less digits than its factorization.

120222213213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147875096 (or 147875082 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 120222213213000 its reverse (312312222021), we get a palindrome (120534525435021).

The spelling of 120222213213000 in words is "one hundred twenty trillion, two hundred twenty-two billion, two hundred thirteen million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 271 300 375 500 542 600 750 813 1000 1084 1355 1500 1626 2168 2710 3000 3252 4065 5420 6504 6775 8130 10840 13550 16260 20325 27100 32520 33875 40650 54200 67750 81300 101625 135500 162600 203250 271000 406500 813000 147874801 295749602 443624403 591499204 739374005 887248806 1182998408 1478748010 1774497612 2218122015 2957496020 3548995224 3696870025 4436244030 5914992040 7393740050 8872488060 11090610075 14787480100 17744976120 18484350125 22181220150 29574960200 36968700250 40074071071 44362440300 55453050375 73937400500 80148142142 88724880600 110906100750 120222213213 147874801000 160296284284 200370355355 221812201500 240444426426 320592568568 400740710710 443624403000 480888852852 601111066065 801481421420 961777705704 1001851776775 1202222132130 1602962842840 2003703553550 2404444264260 3005555330325 4007407107100 4808888528520 5009258883875 6011110660650 8014814214200 10018517767750 12022221321300 15027776651625 20037035535500 24044442642600 30055553303250 40074071071000 60111106606500 120222213213000